A 3D parabolic equation method for sound propagation in moving inhomogeneous media

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper, a new formulation of the Helmholtz equation for sound propagation in a moving inhomogeneous medium in cylindrical coordinates is derived. Based on this formulation, a novel three-dimensional parabolic equation is constructed. This parabolic equation can be used to model sound propagation in an inhomogeneous arbitrary moving medium. The method is used here to simulate three-dimensional outdoor sound propagation with an arbitrary wind above a rigid flat ground surface. The numerical results are presented and compared with benchmark analytical results to validate the methodology. Examples of propagation problems are then included, that demonstrate the importance of modeling the wind directly, rather than using an effective speed of sound.

Original languageEnglish (US)
Title of host publication13th AIAA/CEAS Aeroacoustics Conference (28th AIAA Aeroacoustics Conference)
StatePublished - Dec 1 2007
Event13th AIAA/CEAS Aeroacoustics Conference (28th AIAA Aeroacoustics Conference) - Rome, Italy
Duration: May 21 2007May 23 2007

Publication series

Name13th AIAA/CEAS Aeroacoustics Conference (28th AIAA Aeroacoustics Conference)

Other

Other13th AIAA/CEAS Aeroacoustics Conference (28th AIAA Aeroacoustics Conference)
CountryItaly
CityRome
Period5/21/075/23/07

Fingerprint

Acoustic waves
Helmholtz equation
Acoustic wave velocity

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Mechanical Engineering

Cite this

Cheng, R., Morris, P. J., & Brentner, K. S. (2007). A 3D parabolic equation method for sound propagation in moving inhomogeneous media. In 13th AIAA/CEAS Aeroacoustics Conference (28th AIAA Aeroacoustics Conference) (13th AIAA/CEAS Aeroacoustics Conference (28th AIAA Aeroacoustics Conference)).
Cheng, Rui ; Morris, Philip John ; Brentner, Kenneth Steven. / A 3D parabolic equation method for sound propagation in moving inhomogeneous media. 13th AIAA/CEAS Aeroacoustics Conference (28th AIAA Aeroacoustics Conference). 2007. (13th AIAA/CEAS Aeroacoustics Conference (28th AIAA Aeroacoustics Conference)).
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title = "A 3D parabolic equation method for sound propagation in moving inhomogeneous media",
abstract = "In this paper, a new formulation of the Helmholtz equation for sound propagation in a moving inhomogeneous medium in cylindrical coordinates is derived. Based on this formulation, a novel three-dimensional parabolic equation is constructed. This parabolic equation can be used to model sound propagation in an inhomogeneous arbitrary moving medium. The method is used here to simulate three-dimensional outdoor sound propagation with an arbitrary wind above a rigid flat ground surface. The numerical results are presented and compared with benchmark analytical results to validate the methodology. Examples of propagation problems are then included, that demonstrate the importance of modeling the wind directly, rather than using an effective speed of sound.",
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year = "2007",
month = "12",
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language = "English (US)",
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booktitle = "13th AIAA/CEAS Aeroacoustics Conference (28th AIAA Aeroacoustics Conference)",

}

Cheng, R, Morris, PJ & Brentner, KS 2007, A 3D parabolic equation method for sound propagation in moving inhomogeneous media. in 13th AIAA/CEAS Aeroacoustics Conference (28th AIAA Aeroacoustics Conference). 13th AIAA/CEAS Aeroacoustics Conference (28th AIAA Aeroacoustics Conference), 13th AIAA/CEAS Aeroacoustics Conference (28th AIAA Aeroacoustics Conference), Rome, Italy, 5/21/07.

A 3D parabolic equation method for sound propagation in moving inhomogeneous media. / Cheng, Rui; Morris, Philip John; Brentner, Kenneth Steven.

13th AIAA/CEAS Aeroacoustics Conference (28th AIAA Aeroacoustics Conference). 2007. (13th AIAA/CEAS Aeroacoustics Conference (28th AIAA Aeroacoustics Conference)).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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AU - Brentner, Kenneth Steven

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N2 - In this paper, a new formulation of the Helmholtz equation for sound propagation in a moving inhomogeneous medium in cylindrical coordinates is derived. Based on this formulation, a novel three-dimensional parabolic equation is constructed. This parabolic equation can be used to model sound propagation in an inhomogeneous arbitrary moving medium. The method is used here to simulate three-dimensional outdoor sound propagation with an arbitrary wind above a rigid flat ground surface. The numerical results are presented and compared with benchmark analytical results to validate the methodology. Examples of propagation problems are then included, that demonstrate the importance of modeling the wind directly, rather than using an effective speed of sound.

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Cheng R, Morris PJ, Brentner KS. A 3D parabolic equation method for sound propagation in moving inhomogeneous media. In 13th AIAA/CEAS Aeroacoustics Conference (28th AIAA Aeroacoustics Conference). 2007. (13th AIAA/CEAS Aeroacoustics Conference (28th AIAA Aeroacoustics Conference)).